Contraction morphism
id:
contraction-morphism-319-169307
title:
Contraction morphism
text:
In algebraic geometry, a contraction morphism is a surjective projective morphism f : X → Y between normal projective varieties such that f ∗ O X = O Y or, equivalently, the geometric fibers are all connected. It is also commonly called an algebraic fiber space, as it is an analog of a fiber space in algebraic topology. By the Stein factorization, any surjective projective morphism is a contraction morphism followed by a finite morphism. Examples include ruled surfaces and Mori fiber spaces.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Contraction_morphism
date created:
date modified:
2022-05-13T18:57:48Z
main entity:
{"identifier":"Q55608367","url":"https://www.wikidata.org/entity/Q55608367"}
image:
fields total:
13
integrity:
13